<span>1. </span><span>Your total cost if 11.50 dollars.
It says that you ordered pancakes and a fruit cup
Pancake costs = x
Fruit cup cost = 1.50 dollars
you leave a tip = 15%
The equation would be:
=> (1.50 + x) .15 = 11.50 dollars
=> x = 11.50 – 1.50 x .15
=> Now, let’s find the cost of the
pancake
=> 11.50 - 1.50 fruit cake = 10
=> 10 x .15 tip = 8.5
Thus, the price of the pancake is 8.5</span>
First, graph the three inequalities: x ≥ 5 , y ≤ 10 , 2x - y ≤ 8
Next, look for the 3 intersections (vertices) of the lines: (5, 2) , (5, 10) , (9, 10)
Finally, input the vertex coordinates into P = 4x + 5y and look for the biggest #.
(5, 2): 4(5) + 5(2) = 20 + 10 = 30
(5, 10): 4(5) + 5(10) = 20 + 50 = 70
(9, 10): 4(9) + 5(10) = 36 + 50 = 86
Answer: maximum profit = 86
Answer:
The parameters of this exponential distribution is
=
.
Step-by-step explanation:
We are given that the random variable X is known to be exponentially distributed and let X be the time it takes for a person to choose a birthday gift, where X has an average value of 27 minutes.
<u><em>So, X = time it takes for a person to choose a birthday gift</em></u>
The probability distribution function of exponential distribution is given by;
where,
= parameter of distribution.
Now, the mean of exponential distribution is =
which is given to us as average value of 27 minutes that means
.
So, X ~ Exp(
) .
Therefore, the parameter of this exponential distribution is
.
Answer:
3
Step-by-step explanation:
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-867, -145, -12.1, 12110
Note that a negative number converts a number to a very small number..